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Zbl 1179.26020
Darwish, Mohamed Abdalla; Ntouyas, Sotiris K.
Boundary value problems for fractional functional differential equations of mixed type.
(English)
[J] Commun. Appl. Anal. 13, No. 1, 31-38 (2009). ISSN 1083-2564

Summary: We prove some existence results for boundary value problems for a functional differential equation of fractional order with both retarded and advanced arguments. The nonlinear alternative of Leray-Schauder type is the main tool in carrying out our proof.
MSC 2000:
*26A33 Fractional derivatives and integrals (real functions)
34K05 General theory of functional-differential equations
34K10 Boundary value problems for functional-differential equations

Keywords: boundary value problems; retarded arguments; advanced arguments

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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